Swart, Johan, "Behavioural Sensitivity of the Lotka-Volterra Model", 1988

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The continuous model for a deterministic continuous growth, one-predator-one-prey system is that of Lotka and Volterra. It is well known that this model predicts neutral stability in which the constant amplitudes of the oscillations are determined by the initial conditions. Without changing the underlying model assumptions and by altering only the predator functional response to prey density, it is shown that damped  oscillations towards stable equilibrium or explosive oscillations or a stable limit cycle can be generated as model input.

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  • 1988
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